Variational principles and the numerical solution of scattering problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1998
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| Series: | A Wiley-Interscience publication
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 323 S. |
| ISBN: | 0471181935 |
Staff View
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Record in the Search Index
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| adam_text | VARIATIONAL PRINCIPLES AND THE NUMERICAL SOLUTION OF SCATTERING PROBLEMS
SADHAN K. ADHIKARI INSTITUTE OF THEORETICAL PHYSICS UNIVERSIDADE
ESTADUAL PAULISTA SAO PAULO, BRAZIL A WILEY-LNTERSCIENCE PUBLICATION
JOHN WILEY & SONS, INC. NEW YORK / CHICHESTER / WEINHEIM / BRISBANE /
SINGAPORE / TORONTO CONTENTS FOREWORD XI PREFACE XIII 1 SCATTERING
THEORY 1 1.1 INTRODUCTION / 1 1.2 TIME-INDEPENDENT DESCRIPTION OF
SCATTERING / 10 1.3 WAVE-FUNCTION DESCRIPTION / 13 1.4 TRANSITION-MATRIX
DESCRIPTION / 27 1.5 AT-MATRIX DESCRIPTION / 36 1.6 MULTICHANNEL
SCATTERING / 42 1.6.1 INADEQUACY OF MULTIPARTICLE LIPPMANN- SCHWINGER
EQUATIONS / 43 1.6.2 CLOSE-COUPLING EQUATIONS / 49 1.6.3 PARTIAL-WAVE
MULTICHANNEL K AND S MATRICES / 54 1.6.4 OBSERVABLES / 57 1.7 NOTES AND
REFERENCES / 60 2 NUMERICAL METHODS 61 2.1 INTRODUCTION / 61 2.2
SOLUTION STRATEGY / 65 VIII CONTENTS 2.3 K MATRIX AND PRINCIPAL-VALUE
TREATMENT / 71 2.4 F MATRIX AND AUXILIARY NONSINGULAR EQUATION / 74 2.5
SOLUTION BY ITERATION / 80 2.6 SCATTERING WITH COMPLEX POTENTIALS / 85
2.7 MULTICHANNEL F-MATRIX FORMULATION / 87 2.8 SCATTERING APPROACH TO
BOUND STATE AND RESONANCE / 91 2.9 NOTES AND REFERENCES / 97 VARIATIONAL
PRINCIPLES FOR ON-SHELL AMPLITUDES 99 3.1 GENERAL VARIATIONAL PRINCIPLES
/ 99 3.1.1 WHAT IS A VARIATIONAL PRINCIPLE? / 99 3.1.2 VARIATIONAL
PRINCIPLES FOR FREDHOLM INTEGRAL EQUATIONS / 101 3.2 KOHN VARIATIONAL
PRINCIPLES / 107 3.2.1 FORMULATION / 109 3.3 VARIATIONAL BASIS-SET
METHODS / 115 3.3.1 KOHN METHOD / 115 3.3.2 INVERSE KOHN METHOD / 121
3.3.3 HULTHEN METHOD / 123 3.3.4 VARIATIONAL II-MATRIX METHOD / 124 3.4
HARRIS METHODS / 128 3.4.1 MINIMUM-NORM KOHN AND INVERSE KOHN METHODS /
132 3.5 ANOMALOUS BEHAVIOR / 134 3.5.1 ANOMALY-FREE METHODS / 136 3.6
MULTICHANNEL SCATTERING / 137 3.6.1 KOHN METHODS / 137 3.6.2 VARIATIONAL
I?-MATRIX METHOD / 145 3.7 OPTIMIZED MINIMUM-NORM AND ANOMALY-FREE
METHODS / 148 3.7.1 OPTIMIZED MINIMUM-NORM METHOD / 150 3.7.2 OPTIMIZED
ANOMALY-FREE METHOD / 152 3.8 VARIATIONAL LEAST SQUARES METHOD / 154 3.9
NOTES AND REFERENCES / 158 CONTENTS 4 VARIATIONAL PRINCIPLES FOR
OFF-SHELL AMPLITUDES 159 4.1 INTRODUCTION / 159 4.2 SCHWINGER
VARIATIONAL PRINCIPLE / 162 4.2.1 FORMULATION / 162 4.2.2 CHOICE OF
BASIS FUNCTIONS / 170 4.2.3 APPLICATION TO NUCLEAR PROBLEMS / 172 4.3
NEWTON VARIATIONAL PRINCIPLE / 176 4.4 ITERATIVE VARIATIONAL SCHEMES /
180 4.5 VARIATIONAL PRINCIPLES OF HIGHER ORDER / 183 4.6 COMPLEX AND
REAL KOHN VARIATIONAL PRINCIPLES / 186 4.7 VARIATIONAL PRINCIPLES WITH
DISTORTED WAVES / 193 4.8 INSERTION TECHNIQUES / 199 4.9 VARIATIONAL
PRINCIPLES FOR GENERAL MATRIX ELEMENTS / 201 4.10 VARIATIONAL PRINCIPLES
FOR THE T MATRIX / 210 4.11 ANOMALOUS BEHAVIOR / 215 4.11.1 ANOMALY-FREE
KOHN METHOD / 219 4.12 NOTES AND REFERENCES / 222 5 VARIATIONAL METHODS
FOR REALISTIC PROBLEMS 225 5.1 INTRODUCTION / 225 5.2 SCHWINGER
VARIATIONAL METHOD / 227 5.2.1 CLOSE-COUPLING EQUATIONS / 227 5.2.2
FESHBACH PROJECTION OPERATOR TECHNIQUE / 229 5.3 NEWTON VARIATIONAL
METHOD / 234 5.3.1 INELASTIC SCATTERING / 234 5.3.2 REACTIVE SCATTERING
/ 237 5.3.3 PHOTODISSOCIATION OF TRIATOMIC MOLECULE / 240 5.4 COMPLEX
KOHN VARIATIONAL METHOD / 245 5.5 HARTREE-FOCK CONTINUUM ORBITALS / 249
5.6 NOTES AND REFERENCES / 253 6 NUMERICAL STUDIES 255 6.1 INTRODUCTION
/ 255 6.2 EXPLICIT MATRIX ELEMENTS / 258 X CONTENTS 6.3 SINGLE-CHANNEL
MODEL STUDIES / 261 6.3.1 VARIATIONAL BASIS-SET METHODS / 262 6.3.2
ITERATIVE METHODS / 269 6.4 MULTICHANNEL MODEL STUDIES / 272 6.5 NUCLEAR
FEW-BODY PROBLEMS / 275 6.6 SCATTERING BY HYDROGEN ATOM / 279 6.6.1
ELECTRON-HYDROGEN SCATTERING / 280 6.6.2 POSITRON-HYDROGEN SCATTERING /
285 6.7 SCATTERING BY HELIUM ATOM / 288 6.7.1 ELECTRON-HELIUM SCATTERING
/ 288 6.7.2 POSITRON-HELIUM SCATTERING / 292 6.8 ELECTRON SCATTERING BY
HEAVIER ATOMS / 294 6.9 MOLECULAR PHOTOIONIZATION / 296 6.10
ELECTRON-MOLECULE SCATTERING / 297 6.11 REACTIVE ATOM-DIATOM COLLISIONS
/ 300 6.12 NOTES AND REFERENCES / 304 BIBLIOGRAPHY 309 INDEX 319
|
| any_adam_object | 1 |
| author | Adhikari, Sadhan K. 1948- |
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| author_variant | s k a sk ska |
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| dewey-full | 539.758 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.758 |
| dewey-search | 539.758 |
| dewey-sort | 3539.758 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:23:53Z |
| institution | BVB |
| isbn | 0471181935 |
| language | English |
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| physical | XV, 323 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Wiley |
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| series2 | A Wiley-Interscience publication |
| spelling | Adhikari, Sadhan K. 1948- Verfasser (DE-588)1106890248 aut Variational principles and the numerical solution of scattering problems Sadhan K. Adhikari New York [u.a.] Wiley 1998 XV, 323 S. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Streutheorie (DE-588)4183697-2 gnd rswk-swf Variationsprinzip (DE-588)4062354-3 gnd rswk-swf Streutheorie (DE-588)4183697-2 s Variationsprinzip (DE-588)4062354-3 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008284267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adhikari, Sadhan K. 1948- Variational principles and the numerical solution of scattering problems Streutheorie (DE-588)4183697-2 gnd Variationsprinzip (DE-588)4062354-3 gnd |
| subject_GND | (DE-588)4183697-2 (DE-588)4062354-3 |
| title | Variational principles and the numerical solution of scattering problems |
| title_auth | Variational principles and the numerical solution of scattering problems |
| title_exact_search | Variational principles and the numerical solution of scattering problems |
| title_full | Variational principles and the numerical solution of scattering problems Sadhan K. Adhikari |
| title_fullStr | Variational principles and the numerical solution of scattering problems Sadhan K. Adhikari |
| title_full_unstemmed | Variational principles and the numerical solution of scattering problems Sadhan K. Adhikari |
| title_short | Variational principles and the numerical solution of scattering problems |
| title_sort | variational principles and the numerical solution of scattering problems |
| topic | Streutheorie (DE-588)4183697-2 gnd Variationsprinzip (DE-588)4062354-3 gnd |
| topic_facet | Streutheorie Variationsprinzip |
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